GATE ME branch:me PYQs & Answers — Page 10

Questions 91–100 of 1040. Imported answers require independent review unless marked reviewed.

A rigid circular disc of radius

(in m) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc is

(in rad s

). The velocities (in m s

) at points

and

, respectively, are

Diagram for Mechanical Engineering question 26

Your answerChoose one option.

and

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A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?

Diagram for Mechanical Engineering question 27

Your answerChoose one option.

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A metallic square plate is subjected to a uniform hydrostatic pressure (P). Choose the correct Mohr’s circle representing the state of stress at any point in the plate from the options given below.

For the Mohr’s circle, normal stress is positive towards right and shear stress is positive in the upward direction.

Your answerChoose one option.

Diagram for Mechanical Engineering question 28

Diagram for Mechanical Engineering question 28 (figure 2)

Diagram for Mechanical Engineering question 28 (figure 3)

Diagram for Mechanical Engineering question 28 (figure 4)

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In the context of balancing of rotating and reciprocating masses, which one of the following options is true?

Your answerChoose one option.

An unbalanced rigid rotor can be completely balanced using a single balancing mass

An unbalanced rigid rotor can be completely balanced using two balancing masses attached to two distinct planes

A single-cylinder internal combustion engine can be completely balanced using a single balancing mass

A single-cylinder internal combustion engine can be completely balanced using two balancing masses

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A shaft carries a helical spur gear. Which one of the following bearings can NOT be used to support it?

Your answerChoose one option.

Angular contact bearing

Double-row ball bearing

Straight roller bearing

Tapered roller bearing

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The values of a function

obtained for different values of x are shown in the table below.

x	0	0.25	0.5	0.75	1.0
	0.9	2.0	1.5	1.8	0.4

Using Simpson’s one-third rule,

(rounded off to 2 decimal places).

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The thermal efficiency of an ideal air-standard Otto cycle is 0.5. The value of specific heat ratio of air is 1.4. The compression ratio of the cycle is ____________ (rounded off to 1 decimal place).

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During a welding operation, thermal power of 2500 W is incident normally on a metallic surface. As shown in the figure below (figure is NOT to scale), the heated area is circular. Out of the incident power, 85% of the power is absorbed within a circle of radius 5 mm while 65% is absorbed within an inner concentric circle of radius 3 mm. The power density in the shaded area is __________ W m

(rounded off to 2 decimal places).

Diagram for Mechanical Engineering question 33

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A liquid metal is poured in a mold cavity of size 200 mm × 200 mm × 200 mm. The cooling is uniform in all directions with NO additional compensation for shrinkage. Considering the volumetric shrinkage during solidification and solid contraction as 7% and 8%, respectively, the length of the cube edge after cooling down to the room temperature is ______ mm (rounded off to 1 decimal place).

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A block of mass 1 kg connected to a spring of stiffness 10 N m

is operating in a viscous medium such that the damping ratio (or damping factor) is equal to the ratio of the damped frequency to the natural frequency. The magnitude of the damping ratio for this system is ________ (rounded off to 2 decimal places).

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GATE ME branch:me PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35